DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 264)

Problem 1 :

If 4k – x is a factor of x³ – 72nk³, where n and k are constants and k > 0, what is the value of n?

Solution :

Problem 2 :

The numbers a, b, c, p and w are positive constants, where b > c. The number a is 1,150% more than the positive difference between b and c, and c is 50% of b. If a is p% greater than c, and c is w% of a, what is the value of pw?

Solution :

Problem 3 :

(10b + 6a)x² + (9a² – 25b²)x – 12ab = 0

The equation above has two real solutions, where a and b are constants. The sum of the solutions to the given equation is k(21a – 35b), where k is a constant. What is the value of k?

Solution :

Problem 4 :

Ramachandran invented a new temperature scale he called the Onlinemath4all scale. The function T gives the temperature, in degree Torte, that corresponds to a temperature of x degrees Celsius. If a temperature increased by 3.3 degree Torte, by how much did the temperature increase, in degrees Celsius? Round your answer to the nearest hundredth.

Solution :

Problem 5 :

A circle has center A, and points B and C lie on the circle. Line segments BD and CD are tangent to the circle at points B and C, respectively. The measure of angle BDC is 120°. The length of line segment CD is 12 inches. What is the area of the region that is both inside the quadrilateral ABCD and outside the circle, in square inches? (Round your answer to the nearest hundredth of a square inch)

Solution :

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